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- Jan 26th 2013, 01:09 PMmulferinequality
- Jan 26th 2013, 11:35 PMearthboyRe: inequality
Small advice @ mulfer:please learn LATEX

We have to prove:

It is equivalent to proving:

So we are done if we are able to prove this.

now,

if is a positive real number,

if then (obvious)

if then (obvious)

if then so, (multiplying both sides by a negative number i.e changes the sign)

so for all case,

similarly,

summing these we get:

so we will be done if we prove or

by the AM-GM inequality,

# as

proved (Rock) - Jan 27th 2013, 05:14 AMmulferRe: inequality
thanks for replying. I'd be glad to learn the latex soon.

please, check my solution:

Attachment 26722 - Jan 27th 2013, 06:32 AMearthboyRe: inequality